MOS cradle: Difference between revisions

Wikispaces>Andrew_Heathwaite
**Imported revision 40385442 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 40509027 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2008-10-01 19:22:18 UTC</tt>.<br>
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: The original revision id was <tt>40385442</tt>.<br>
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For this tutorial, I assume basic knowledge of Moment of Symmetry scale design. To summarize, you can design scales by building a chain of one interval (the **generator**) within a **period** of another interval -- often, but not always, the octave. When the resulting set of notes has exactly two step sizes, we call the scale a Moment of Symmetry, or MOS, scale. A prime example: the [[Pythagorean Scale]], built using the octave as the period &amp; the perfect fifth as the generator.
For this tutorial, I assume basic knowledge of Moment of Symmetry scale design. To summarize, you can design scales by building a chain of one interval (the **generator**) within a **period** of another interval -- often, but not always, the octave. When the resulting set of notes has exactly two step sizes, we call the scale a Moment of Symmetry, or MOS, scale. A prime example: the [[Pythagorean Scale]], built using the octave as the period &amp; the perfect fifth as the generator.


For this tutorial, I will limit us to MOS scales as subsets of [[edo]]s, because we can easily show the steps as degrees in the superscale.
For this tutorial, I will limit us to MOS scales as subsets of [[edo]]s, because we can easily show the steps as degrees in the superscale. But do keep in mind that you can apply these ideas to [[nonoctave]] &amp; [[JustIntonation|JI]] scales just as easily &amp; with just as interesting results!


==The "Parent"==  
==The "Parent"==  
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For this tutorial, I assume basic knowledge of Moment of Symmetry scale design. To summarize, you can design scales by building a chain of one interval (the &lt;strong&gt;generator&lt;/strong&gt;) within a &lt;strong&gt;period&lt;/strong&gt; of another interval -- often, but not always, the octave. When the resulting set of notes has exactly two step sizes, we call the scale a Moment of Symmetry, or MOS, scale. A prime example: the &lt;a class="wiki_link" href="/Pythagorean%20Scale"&gt;Pythagorean Scale&lt;/a&gt;, built using the octave as the period &amp;amp; the perfect fifth as the generator.&lt;br /&gt;
For this tutorial, I assume basic knowledge of Moment of Symmetry scale design. To summarize, you can design scales by building a chain of one interval (the &lt;strong&gt;generator&lt;/strong&gt;) within a &lt;strong&gt;period&lt;/strong&gt; of another interval -- often, but not always, the octave. When the resulting set of notes has exactly two step sizes, we call the scale a Moment of Symmetry, or MOS, scale. A prime example: the &lt;a class="wiki_link" href="/Pythagorean%20Scale"&gt;Pythagorean Scale&lt;/a&gt;, built using the octave as the period &amp;amp; the perfect fifth as the generator.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For this tutorial, I will limit us to MOS scales as subsets of &lt;a class="wiki_link" href="/edo"&gt;edo&lt;/a&gt;s, because we can easily show the steps as degrees in the superscale.&lt;br /&gt;
For this tutorial, I will limit us to MOS scales as subsets of &lt;a class="wiki_link" href="/edo"&gt;edo&lt;/a&gt;s, because we can easily show the steps as degrees in the superscale. But do keep in mind that you can apply these ideas to &lt;a class="wiki_link" href="/nonoctave"&gt;nonoctave&lt;/a&gt; &amp;amp; &lt;a class="wiki_link" href="/JustIntonation"&gt;JI&lt;/a&gt; scales just as easily &amp;amp; with just as interesting results!&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="MOS Cradle-The &amp;quot;Parent&amp;quot;"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;The &amp;quot;Parent&amp;quot;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="MOS Cradle-The &amp;quot;Parent&amp;quot;"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;The &amp;quot;Parent&amp;quot;&lt;/h2&gt;